Critical Thinking: Analyze and categorize numbers within the real number system, applying this understanding to complex problems.
Communication: Effectively explain the properties of the real number system and its applications in various contexts.
Global Citizenship: Recognize the universal application of the real number system in disciplines such as science, engineering, and finance.
In what ways do real numbers apply to real-world situations, and how do they help us solve problems?
Skills Demonstrated
Students will be able to…
Distinguish between rational and irrational numbers and describe their properties.
Understand that the real number system includes both rational and irrational numbers.
Represent real numbers on the number line with accuracy.
Approximate irrational numbers using rational values.
Communicate mathematical reasoning about number classification and relationships.
8.NS.A.1: Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion.
8.NS.A.2: Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions.
HSN.RN.A.1: Explain how the definition of the meaning of rational and irrational numbers expands the number system beyond the natural numbers, integers, and rational numbers.
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